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Simplifying 6(x + -3) = 2x + 30 Reorder the terms: 6(-3 + x) = 2x + 30 (-3 * 6 + x * 6) = 2x + 30 (-18 + 6x) = 2x + 30 Reorder the terms: -18 + 6x = 30 + 2x Solving -18 + 6x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 6x + -2x = 30 + 2x + -2x Combine like terms: 6x + -2x = 4x -18 + 4x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 4x = 30 + 0 -18 + 4x = 30 Add '18' to each side of the equation. -18 + 18 + 4x = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 30 + 18 4x = 30 + 18 Combine like terms: 30 + 18 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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